729078337 has 12 divisors (see below), whose sum is σ = 835918380. Its totient is φ = 633404928.

The previous prime is 729078323. The next prime is 729078341. The reversal of 729078337 is 733870927.

729078337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7403841 + 721674496 = 2721^2 + 26864^2 .

It is not a de Polignac number, because 729078337 - 2⁷ = 729078209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729078397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124012 + ... + 129757.

It is an arithmetic number, because the mean of its divisors is an integer number (69659865).

Almost surely, 2^729078337 is an apocalyptic number.

It is an amenable number.

729078337 is a deficient number, since it is larger than the sum of its proper divisors (106840043).

729078337 is a wasteful number, since it uses less digits than its factorization.

729078337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253812 (or 253799 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The square root of 729078337 is about 27001.4506462153. The cubic root of 729078337 is about 900.0322362939.

The spelling of 729078337 in words is "seven hundred twenty-nine million, seventy-eight thousand, three hundred thirty-seven".